A Theorem on the Extension of Measures in Uniform Spaces
Beloslav Riečan (1969)
Matematický časopis
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Beloslav Riečan (1969)
Matematický časopis
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C. Gryllakis, G. Koumoullis (1990)
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Ondřej F. K. Kalenda (1997)
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Rice, M. D.
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N. Kalamidas (1997)
Rendiconti del Seminario Matematico della Università di Padova
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We prove that all measurable functionals on certain function spaces are measures; this improves the (known) results about weak sequential completeness of spaces of measures. As an application, we prove several results of this form: if the space of invariant functionals on a function space is separable then every invariant functional is a measure.